## We've made it easy!

- No charge for the course. It is now FREE.
- No time limit. There is now an unlimited time for completing the course.
- No user name and password required. Just click on the course outline then click on the lesson that you would like to take.

*Note: There is no credit or certificate of completion available for the completion of this course.*

**Who should take this course:** Pre-Algebra, Algebra 1 and Algebra 2 teachers, and Pre-Service, College Algebra, and Developmental Algebra educators

**TI educational technology used:** TI-83 Plus or TI-83 Plus Silver Edition, TI-84 Plus or TI-84 Plus Silver Edition, TI-GRAPH LINK™ cable, TI-GRAPH LINK 83 or TI Connect™ software

**Note:** The TI technologies are not included in the cost of the course.

**Objective:** This course introduces ways of incorporating graphing technology into your algebra lessons to enrich instruction and extend your students' comprehension. Essential algebra topics such as solving equations, transformations, systems of inequalities, proportional reasoning, and factoring are correlated to the NCTM Standards.

**Focus:** The primary focus of this course is to use the TI-83 and TI-84 Plus families of graphing calculators to enhance the teaching and learning of algebra. This course contains 27 self-paced learning modules written by experienced teachers. Each module has 2-4 lessons as well as tips and hints on integrating the graphing calculator into your lessons plans.

**Computer Requirements:**

- 1024 x 768 monitor resolution. These movies are 680 x 580. A screen resolution of 1024x768 gives the best viewing size, but 800x600 works well, too.
- Internet access (128kbs or better). Access using a broadband internet connection is best. These courses will work via a dial-up connection but will be slow.
- Internet Explorer™ recommended
- Macromedia Flash™ 7 Player (or later) (click here to download and install)

**Note:** For courses involving a TI-84 Plus graphing calculator, TI SmartView™ is used to show the calculator keyboard and screen displays. More information on the TI-SmartView presentation software package, click here.

**Navigation Tips:
**These movies work much like a VCR. Use the menu bar at the bottom of the screen to rewind, play, fast forward, pause and stop or use the status bar to move between sections.

The “Show Me” button takes the user step-by-step through the lesson. If you feel you are familiar with the material you may want to skip forward and use the “Let Me Try” feature to test your knowledge.

**Questions or get technical support:
**1-800-TI-Cares or

**t3online@ti.com**

**.**

## Course Outline

**Introduction**

Get acquainted with how to take this course including tips on navigation.

**Module 0: Getting Aquainted**

This module will examine the following:

• three different zones of the TI-84 plus and what each zone does

• how to reset defaults and examining what happens to different features when this is done

• how to enter arithmetic expressions with addition and implied multiplication (parenthesis)

• how to evaluate exponential expressions with repeated multiplication, exponential function key and the pretty print (or preset) exponents

**Module 1: Building the Bridge From Arithmetic to Algebra**

This module will examine the following:

• solving algebraic expressions and examining patterning by entering values in alphanumeric values and using the last answer function.

• converting fractions to lowest terms.

• entering and graphing functions using the y= editor

• resizing windows manually to create friendly viewing windows and using the trace feature to solve for missing values in a function

• setting up tables and scrolling through tables to find missing data values

**Module 2: Number Patterns and Sequences**

This module will examine the following:

• creating a recursive sequence on the home screen

• storing multiple answers in the calculator and using the answer feature to create a table/list containing a recursive sequence on the home screen

• using the seq command to generate lists of data in the list editor and creating scatter plots.

• graphing equations to represent data in a scatter plot and using the trace/ table features to solve values

**Module 3: Using Lists to Build Algebraic Thinking**

This module will examine the following:

• learning an algorithm to multiply by 11

• entering data values in lists and enter formulas in the list editor

• using the set up editor to display lists and rearranging lists in the list editor

• using the catalogue to locate commands and using the sum command to add elements in a list

• using the y = editor and tables to input independent values to obtain dependent values for a function

**Module 4: Draw on Your Knowledge of Coordinates**

This module will examine the following:

• using graph window presets such as zstandard, zdecimal, zinterger, to create friendly viewing windows

• manually changing the window settings to create friendly viewing graph windows and manually setting the center of a window

• graphing lines squares, circles using tools from the draw menu and clearing drawings

• drawing on the graph screen using the draw tools from the home screen and storing/recalling drawings

• downloading and using TI Connect to capture drawings on the home screen

**Module 5: Transformations**

This module will examine the following:

• use the set up editor and the alpha lock feature to name and create lists

• using graph window presets such as zoomstat and zsquare to create friendly viewing windows and manually changing window settings

• performing operations on lists to reflect, translate and dilate graphs

• using the augment and dim commands to change the size of lists

**Module 6: Operations in Algebra: Rational Numbers and Expressions**

This module will examine the following:

• comparing and ordering rational numbers using relational operators and using the sort command for lists

• add, subtract, multiply, and divide rational numbers

• convert decimals to fractions

• using the last answer feature

• store numbers in alphanumeric variables and solving for expressions, using relational operators to compare algebraic expressions

• entering and comparing algebraic expressions and using graphs/ tables to compare expressions

**Module 7: Proportional Reasoning**

This module will examine the following:

• using the y = editor to graph functions and to solve ratios using the trace, value and intersection features

• using the answer feature to convert decimal values for time to minutes, seconds

• looking for patterns by performing operations on lists, storing values, graphing linear functions and scatter plots

• using the Calc menu and the value command to solve for missing values

**Module 8: Solving Equations**

This module will examine the following:

• using the guess-and-test method to solve equations

• entering expressions and using concatenation on home screen to solve expressions

• entering functions using the y = editor and using the table feature to find missing values

• Solving Equations Algebraically store values and compare answers with expressions with rational numbers

• using y= editor to graphing and using the Calc menu to find intersection points

• expressing answers in fractional form

**Module 9: Solving Linear Inequalities**

This module will examine the following:

• solving inequalities in one variable using concatenation and relational operators

• solving inequalities using tables and graphs by entering equations into y = editor and using tables/ graphs to solve for missing values

• using relational operators to graph linear inequalities by using the y = editor to enter equations and inequalities

• using graphs to examine inequalities and determine intersection points

**Module 10: Percent Applications**

This module will examine the following:

• determine discounts by entering expressions and inequalities on home screen using relational operators

• determining sales tax and tips through solving inequalities with tables, graphing and home screen

• solving inflation and depreciation problems using graphs and the Calc menu.

**Module 11: Solving Problems Involving Linear Functions**

This module will examine the following:

• using the list editor and attaching formulas to a list to create dependent values form independent values

• entering functions and using tables to accept independent values into table and solve for dependent values

• perform operations on functions, find intersection points and use tables to find missing values

**Module 12: Equation of a Line**

This module will examine the following:

• comparing the slopes of lines using the y= editor and graphs

• graphing lines in slope-intercept form and finding intersection points

• create scatter plots and graph functions to draw lines to fit data points

**Module 13: Programming and Lines**

This module will examine the following:

• how to write a program to find slope and y- intercept

• using the random integer feature to create an equation for a line in slope intercept form - -load a program using TI Connect

**Module 14: Linear Data Collection Activities**

This module will examine the following:

• examining Hooke’s Law

• using the seq feature to generate data and storing values into variables

• graphing functions and using tables to input independent variables in table

• finding points of intersection using the Calc menu

**Module 15: Linear Data Collection Activities with the CBR**

This module will examine the following:

• loading of data using TI Connect

• using the y = editor to graph functions

• store values using alphanumeric variables

**Module 16: Relations and Functions**

This module will examine the following:

• drawing and labelling points

• drawing horizontal and vertical lines and drawing the inverse of a function,

• drawing a circle using the home screen

• entering functions into the y = editor and using the table feature to enter independent values

• entering data values into lists

• using change in lists to find the common difference, slope

**Module 17: Systems of Linear Equations**

This module will examine the following:

• using home screen to guess and check solutions and to find the intersection point of two functions

• graphing functions and performing mathematical operations on functions in the y= editor

• entering matrices and finding a solution using the rref (row reduced echelon form) feature

**Module 18: Compound Inequalities and Systems of Inequalities**

This module will examine the following:

• entering functions into the y = editor and finding points of intersection

• using Boolean and relational operators to graph the solution of an inequality

• graphing an inequality and using the home screen to test values

**Module 19: Factoring Trinomials**

This module will examine the following:

• checking linear factors using relational operators and the home screen

• storing values into alphanumeric variables,

• entering and comparing functions with relational operators and graphs

• using the Calc menu and the zero feature to solve trinomials for x=0 to compare factors

**Module 20: Transformations of Quadratic Functions**

This module will examine the following:

• graphing multiple functions from one function,

• using zoom decimal window to determine information from graphs

• using list editor to enter and generate data values

• graphing data using scatter plots

• using the Calc menu to find the maximum point and vertex

• enter functions into the y = editor and using the home screen to verify solutions

**Module 21: Solving Quadratic Equations**

This module will examine the following:

• entering functions to find the maximum point or vertex and checking answers on the home screen

• entering functions and finding the point of intersection and using tables to verify answers

• entering expressions on the home screen

• using alphanumeric variables to store numbers and entering expressions on the home screen

• enter the functions and use the zero feature to determine solutions

• running a program called quadfrom

**Module 22: Exponential Functions**

This module will examine the following:

• entering expressions on the home screen and using exponent key,

• converting decimal numbers to simplest form fractions

• using the last answer feature to generate a table of values on the home screen,

• using repeated multiplication, exponential function key and the pretty print or preset exponents

• entering functions and use the table to solve expressions

• entering functions and find intersection point

**Module 23: Exponential, Rational, and Radical Functions**

This module will examine the following:

• using recursion on the home screen

• entering functions using the y = editor and comparing tables or graphs,

• finding the intersection point

**Module 24: Absolute-Value Equations and Inequalities**

This module will examine the following:

• enter functions and finding the point of intersection

• using relational operators with tables and drawing graphs

• using zoom feature (zoom in) to see points of intersection

• using one function to draw multiple functions and storing values in alphanumeric variables

**Module 25: Using Lists and Graphs**

This module will examine the following:

• inserting, deleting, overwriting values in a list

• creating a scatter plot

• drawing vertical and horizontal lines to examine the vertical line test

**Module 26: Linear Regression**

This module will examine the following:

• entering data into lists to create scatter plots and tracing values

• entering functions to compare lines of best fit, use linreg feature to determine slope and y-intercept,

• using the Catalogue menu to turn diagonistics on/off to see correlation coefficients

**Module 27: More Linear Regressions**

This module will examine the following:

• comparing lists to find first level differences in a list

• perform stat calculations (mean) on a list,

• storing values in alphanumeric variables

• entering functions in y= editor and using linreg feature to determine slope and y-intercept

## How to take this course

No charge for the course. It is now FREE. No time limit. There is now an unlimited time for completing the course. No user name and password required.

Just click on the course outline then click on the module that you would like to take. When you are finished with a lesson, click on the next one.